This is a signals and system problem
X(t) = 10e-j2tcos3t u(t) See if it is periodic. If so find T Find the energy...
Q1) For the periodic signals x() and ) shown below: x(t) YCO y(t) a) Find the exponential Fourier series for x(t) and y). b) Sketch the amplitude and phase spectra for signal x(). c) Use Parseval's theorem to approximate the power of the periodic signal x() by calculating the power of the first N harmonics, such that the strength of the Nth harmonic is 10% or more of the power of the DC component.
Q1) For the periodic signals x()...
4. Given the following signals, a) (6 pts). Find the signal energy in the voltage x(t) = 10rect b) (6 pts). Find the average signal power in the following periodic voltage, x(t). Express your answer in dBV 4AAK x(t) 9 10 11 12 Given the following amplifier 22 kn 56 kn o ww x(t) c) (6 pts). What is the loss in decibels? d) (7 pts). If the input to the amplifier is 3cos(2T300t+25°) V, what is the output in...
Please explain how a) is
solved, write what formula is used and explain in detail so I can
solve any problem of this type.
2) Find the power and energy of the following signals (20 Points). a) x(t) = sin(t) b) y[n] = (-0.3)”u[n – 2] Solutions: Part (a): The signal r(t) is periodic because 1-cos(2t) (t) = sin(t) = ? Therefore, E = 0. To find the power, we can use the fact that the signal is sinusoid: P:...
1) Given the functions xi()-tu()-tu(t-I) and xz()-10e "u(), do the following: Find x()-x(0)*xz() by hand using Laplace transforms.
1) Given the functions xi()-tu()-tu(t-I) and xz()-10e "u(), do the following: Find x()-x(0)*xz() by hand using Laplace transforms.
4. Given the following signals, a) (6 pts). Find the signal energy in the voltage x(t) = 10rect b) (6 pts). Find the average signal power in the following periodic voltage, x(t). Express your answer in dBV 4AAK x(t) 9 10 11 12 Given the following amplifier 22 kn 56 kn o ww x(t) c) (6 pts). What is the loss in decibels? d) (7 pts). If the input to the amplifier is 3cos(2T300t+25°) V, what is the output in...
JU Q1. Sketch the following SIGNALS and determine for each whether it is: Periodic or aperiodic. If periodic, • Even, odd, or neither. If it is neither, specify To. decompose it into even part Ev{x} Energy signal, power signal, or and odd part Od{x} and sketch them. neither. Find the total energy E. and average power PC- 12 -1<n<1 (a) xa n] = lo otherwise (b) xo(t) = xy(t) + x2(t), where x,(t) and x2(t) are the signals shown below:...
Calculate the convolution integral of the following signals. Find the energy and power of the input and output signals. x(t) y(t) x(t) = cos(it)[u(t + 1) – uſt – 3)] h(t) = u(t + 2) – uſt – 1) del mes h(t) de ser LTI System
3. Find the continuous-time convolution of r(t) = 10e (i 2)u(t - 2) with h(t) = 5e ( 4)u(t – 4)
circle all that applies
5. X(t) = cos(3) a. Causal b. Bounded c. Periodic d. Power e. Energy mandantine that annly to the helow signals)
/15 Problem #5: Chapter 2 Exercise 66 page 78. a,c,e Find the average signal power of each of these signals (a) x(t) 2sin(200xt) (c)x(t) lo0 (e) x(t)--3sgn(2(1-4)
/15 Problem #5: Chapter 2 Exercise 66 page 78. a,c,e Find the average signal power of each of these signals (a) x(t) 2sin(200xt) (c)x(t) lo0 (e) x(t)--3sgn(2(1-4)